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Finding the Fourth Proportional to 19.96, 27.50 and 13.40

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Solution

The fourth proportional to 19.96, 27.50 and 13.40 is: 18.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.96 : 27.50 = 13.40 : x
  2. Step 2: Convert to fraction form
    19.96/27.50 = 13.40/x
  3. Step 3: Cross multiply
    19.96x = 27.50 × 13.40
  4. Step 4: Simplify right side
    19.96x = 368.40
  5. Step 5: Solve for x
    x = 368.40/19.96
  6. Step 6: Final answer
    x = 18.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.